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Finding the Fourth Proportional to 262,541.80, 394,007.10 and 173,765.80

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Solution

The fourth proportional to 262,541.80, 394,007.10 and 173,765.80 is: 260,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,541.80 : 394,007.10 = 173,765.80 : x
  2. Step 2: Convert to fraction form
    262,541.80/394,007.10 = 173,765.80/x
  3. Step 3: Cross multiply
    262,541.80x = 394,007.10 × 173,765.80
  4. Step 4: Simplify right side
    262,541.80x = 68,464,958,937.18
  5. Step 5: Solve for x
    x = 68,464,958,937.18/262,541.80
  6. Step 6: Final answer
    x = 260,777.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.